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Finding the Third Proportional to 59,851 and 91,020

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Solution

The third proportional to 59,851 and 91,020 is: 138,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,851 : 91,020 = 91,020 : x
  2. Step 2: Convert to fraction form
    59,851/91,020 = 91,020/x
  3. Step 3: Cross multiply
    59,851x = 91,020 × 91,020
  4. Step 4: Simplify right side
    59,851x = 8,284,640,400
  5. Step 5: Solve for x
    x = 8,284,640,400/59,851
  6. Step 6: Final answer
    x = 138,421.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.